130454262432 has 144 divisors (see below), whose sum is σ = 400961662920. Its totient is φ = 39994546176.

The previous prime is 130454262427. The next prime is 130454262437. The reversal of 130454262432 is 234262454031.

130454262432 is a `hidden beast` number, since 1 + 304 + 54 + 262 + 43 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (130454262427) and next prime (130454262437).

It can be written as a sum of positive squares in 4 ways, for example, as 65165836176 + 65288426256 = 255276^2 + 255516^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130454262437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 974194 + ... + 1099982.

Almost surely, 2^130454262432 is an apocalyptic number.

130454262432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130454262432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200480831460).

130454262432 is an abundant number, since it is smaller than the sum of its proper divisors (270507400488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130454262432 is a wasteful number, since it uses less digits than its factorization.

130454262432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126095 (or 126084 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 130454262432 in words is "one hundred thirty billion, four hundred fifty-four million, two hundred sixty-two thousand, four hundred thirty-two".